Basic College Mathematics (9th Edition)

by
Lial, Margaret L.; Salzman, Stanley A.; Hestwood, Diana L.

Published by
Pearson

ISBN 10:
0321825535

ISBN 13:
978-0-32182-553-7

Chapter 5 - Ratio and Proportion - 5.3 Proportions - 5.3 Exercises: 5

Answer

$\frac{120}{150}=\frac{8}{10}$

Work Step by Step

We are given that 120 ft is to 150 ft as 8 ft is to 10 ft. In order to write this as a proportion, we can write both relations as fractions.
120 ft is to 150 ft can be written as $\frac{120 ft}{150 ft}$
8 ft is to 10 ft can be written as $\frac{8 ft}{10 ft}$
Next, we can set both fractions equal to each other, which gives us a proportional relationship.
$\frac{120 ft}{150 ft}=\frac{8 ft}{10 ft}$
Since the units in the numerators and denominators are same, we can simplify by dropping the units from both fractions.
$\frac{120}{150}=\frac{8}{10}$